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Ideas for '', 'On 'Insolubilia' and their solution' and 'Naming and Necessity preface'

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2 ideas

4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
Possible worlds allowed the application of set-theoretic models to modal logic [Kripke]
     Full Idea: The main and the original motivation for the 'possible worlds analysis' - and the way it clarified modal logic - was that it enabled modal logic to be treated by the same set theoretic techniques of model theory used successfully in extensional logic.
     From: Saul A. Kripke (Naming and Necessity preface [1980], p.19 n18)
     A reaction: So they should be ascribed the same value that we attribute to classical model theory, whatever that is.
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / c. Logical sets
The 'no classes' theory says the propositions just refer to the members [Russell]
     Full Idea: The contention of the 'no classes' theory is that all significant propositions concerning classes can be regarded as propositions about all or some of their members.
     From: Bertrand Russell (On 'Insolubilia' and their solution [1906], p.200)
     A reaction: Apparently this theory has not found favour with later generations of theorists. I see it in terms of Russell trying to get ontology down to the minimum, in the spirit of Goodman and Quine.